Objetivo String theory provides a unified description of particle physics and gravity, within a consistent theory of quantum gravity. The goal of this research is to develop both the phenomenological implications as well as conceptual foundations of string theory and its non-perturbative completions, M- and F-theory. Both, seemingly independent, questions are deeply connected to a mathematical structure, the Higgs bundle, which characterizes supersymmetric vacua of dimensionally reduced gauge theories, and insights into the moduli space of Higgs bundles will result in a fruitful cross-connection between these subjects.For string theory to engage in a meaningful dialog with particle physics, it is paramount to gain a universal understanding of the low energy effective theories that can arise from it. Building on the success of studying F-theory vacua in terms of Higgs bundles, we propose to develop the Higgs bundle approach for M-theory on G2-manifolds, leading to a universal characterization of the low energy physics. Methods developed for Higgs bundles of d = 3 N = 2 theories obtained from M5-branes on three-manifolds will be used in this process. Associated to each Higgs bundle is a local G2 manifold and we propose a way (using new results in geometry) to construct compact G2 spaces associated to these, which manifestly ensure the phenomenological soundness of the compactifications.Higgs bundles have recently also played a key role in studying the compactifications of the M5-brane in M-theory. We propose and develop a new duality between a d = 4 theory on a four-manifold X4 and a d = 2, N = (2,0) supersymmetric gauge theory on a two-sphere S2, obtained by considering the M5-brane theory on X4xS2. The supersymmetric vacua have a characterization in terms of Higgs bundles, which can be studied with tools developed for F- theory Higgs bundles on four-manifolds. Furthermore we propose a concrete approach to derive this duality from first principles. Ámbito científico natural sciencesphysical sciencestheoretical physicsparticle physicsnatural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesphysical sciencestheoretical physicsstring theorynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicsapplied mathematicsmathematical physicsconformal field theory Programa(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Tema(s) ERC-CoG-2015 - ERC Consolidator Grant Convocatoria de propuestas ERC-2015-CoG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-COG - Consolidator Grant Institución de acogida THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Aportación neta de la UEn € 1 794 562,00 Dirección WELLINGTON SQUARE UNIVERSITY OFFICES OX1 2JD Oxford Reino Unido Ver en el mapa Región South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 794 562,00 Beneficiarios (2) Ordenar alfabéticamente Ordenar por aportación neta de la UE Ampliar todo Contraer todo THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Reino Unido Aportación neta de la UEn € 1 794 562,00 Dirección WELLINGTON SQUARE UNIVERSITY OFFICES OX1 2JD Oxford Ver en el mapa Región South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 794 562,00 KING'S COLLEGE LONDON La participación finalizó Reino Unido Aportación neta de la UEn € 0,00 Dirección STRAND WC2R 2LS London Ver en el mapa Región London Inner London — West Westminster Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total Sin datos
